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Finding the Fourth Proportional to 5,048.74, 7,570.95 and 1,760.86

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Solution

The fourth proportional to 5,048.74, 7,570.95 and 1,760.86 is: 2,640.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.74 : 7,570.95 = 1,760.86 : x
  2. Step 2: Convert to fraction form
    5,048.74/7,570.95 = 1,760.86/x
  3. Step 3: Cross multiply
    5,048.74x = 7,570.95 × 1,760.86
  4. Step 4: Simplify right side
    5,048.74x = 13,331,383.02
  5. Step 5: Solve for x
    x = 13,331,383.02/5,048.74
  6. Step 6: Final answer
    x = 2,640.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.